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WorksheetsMath I: 2nd Semester FINAL Review
Total questions: 109
Worksheet time: 2hrs 53mins
Name
Class
Date
1.
Solve for the variable.
3x + 3 = 12
3x + 3 = 12
a)
5
b)
-5
c)
3
d)
-3
2.
Solve for the variable.
7x - 5 = 8(x + 3)
7x - 5 = 8(x + 3)
a)
29
b)
-29
c)
-19
d)
19
3.
Solve for the variable.
-8 + 22 = 13x - 5 - 12x
-8 + 22 = 13x - 5 - 12x
a)
9
b)
19
c)
25
d)
-9
4.
Which step, if any, contains an error?
a)
Step 1
b)
Step 2
c)
There is no error
5.
Solve for the variable.
a)
-7
b)
7
c)
5
d)
-4
6.
What property goes in the last entry?
a)
Division Property of Equality
b)
Transitive Property of Equality
c)
Symmetric Property of Equality
d)
Division Property of Equality
7.
Solve the equation for the indicated variable.
a)
A
b)
B
c)
C
d)
D
8.
Solve the equation for the indicated variable.
a)
A
b)
B
c)
C
d)
D
9.
Solve the equation for the indicated variable.
a)
A
b)
B
c)
C
d)
D
10.
Solve the equation for the indicated variable.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
Solve the inequality.
a)
m < -5
b)
m > -5
c)
m > -2
d)
m < -2
14.
Solve the inequality.
a)
x ≤ 4
b)
x ≥ -4
c)
x ≤ -1
d)
x ≥ 1
15.
Solve the inequality: -5(4 + k) > -20
a)
k < 2
b)
k < 0
c)
k > 3
d)
k < 5
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
C
d)
D
22.
Solve the inequality.
a)
x ≤ -2
b)
x ≥ -2
c)
x < -2
d)
x > -2
23.
a)
A
b)
B
c)
C
d)
D
24.
What is the answer to this system?
a)
A
b)
B
c)
C
d)
D
25.
Solve the system.
a)
A
b)
B
c)
C
d)
D
26.
What is the answer to the system?
a)
A
b)
B
c)
C
d)
D
27.
Solve the system.
a)
A
b)
B
c)
C
d)
D
28.
Which graph represents the solution to the system below?
y = -2x + 1
y + 6 = 2x
y = -2x + 1
y + 6 = 2x
a)
A
b)
B
c)
C
d)
D
29.
Which graph represents the solution to the system of inequalities below?
x > 2
y > 8
x > 2
y > 8
a)
A
b)
B
c)
C
d)
D
30.
Which system of equations represents the scenario?
a)
A
b)
B
c)
C
d)
D
31.
Which system of equations represents the scenario?
a)
F
b)
G
c)
H
d)
J
32.
Which one of the following histograms the data in the table below?
a)
A
b)
B
c)
C
d)
D
33.
Given the following data, answer the question.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
Which dotplot represents the given data.
A store manager counts the number of customers who make a purchase in his store each day. The data are as follows.
10, 11, 8, 14, 7, 10, 10, 11, 8, 7
A store manager counts the number of customers who make a purchase in his store each day. The data are as follows.
10, 11, 8, 14, 7, 10, 10, 11, 8, 7
a)
A
b)
B
c)
C
d)
D
36.
What is the interquartile range of plot A?
a)
6
b)
8
c)
15
d)
28
37.
Find the median of plot B
a)
30
b)
14
c)
28
d)
16
38.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
39.
The mean is a measure of center.
a)
True
b)
False
40.
There are two measures of center.
a)
True
b)
False
41.
The mean should be used as the measure of center when there are outliers.
a)
True
b)
False
42.
The Interquartile Range (IQR) is found by subtracting Q3 from Q1 (Q1 - Q3).
a)
True
b)
False
43.
Complete the following: "The following box-and-whisker plot is _______________."
a)
skewed right
b)
skewed left
c)
symmetric
44.
Complete the following: "The following box-and-whisker plot is _______________."
a)
skewed right
b)
skewed left
c)
symmetric
45.
Determine which option is not true.
a)
Class #1 had a greater median.
b)
Class #2 has a greater max.
c)
Class #2 had a greater Q3.
d)
Class #1 had a lower Q1.
46.
a)
A
b)
B
c)
C
d)
D
47.
The data below represents the number of runners on each cross country team in the Northern Conference.
12, 15, 15, 17, 19, 19, 20, 22, 24
Which box plot correctly summarizes the data?
12, 15, 15, 17, 19, 19, 20, 22, 24
Which box plot correctly summarizes the data?
a)
Top
b)
Middle
c)
Bottom
48.
Is the SUV's dot plot skewed to the left or right?
a)
Left
b)
Right
49.
What is the range in gas mileage for cars?
a)
2
b)
10
c)
4
d)
6
50.
Find the outlier in the set of data:
20, 52, 86, 80, 44, 49, 57, 41, 44, 55
20, 52, 86, 80, 44, 49, 57, 41, 44, 55
a)
86
b)
41, 80, 86
c)
80, 20, 86
d)
80, 86
51.
Using the information below, identify which of the following is NOT an outlier:
Q1 = 53
Q2 = 55
Q3=61
Q1 = 53
Q2 = 55
Q3=61
a)
73
b)
40
c)
80
d)
73.5
52.
Using the information below, identify which of the following is an outlier:
Q1 = 3
Q2 = 7
Q3 = 12
Q1 = 3
Q2 = 7
Q3 = 12
a)
22
b)
25.5
c)
-8.5
d)
26
53.
True or False: "According to the residual plot shown, a linear model would be most appropriate."
a)
True
b)
False
54.
True or False: "According to the residual plot shown, a linear model would be most appropriate."
a)
True
b)
False
55.
What type of correlation describes the scatter plot?
a)
Positive
b)
Negative
c)
No Correlation.
56.
What type of correlation describes the scatter plot?
a)
Positive
b)
Negative
c)
No Correlation.
57.
What percentage of males surveyed drive sports cars?
a)
35%
b)
65%
c)
16.25%
d)
25%
58.
What percentage of SUV's are driven by the women in reference to the total amount of people surveyed?
a)
83.25%
b)
65%
c)
56.25%
d)
86.50%
59.
How many people purchased no food and no drink?
a)
60
b)
10
c)
20
d)
200
60.
Convert 0.81 to a percentage.
a)
0.81%
b)
8.1%
c)
81%
d)
.18%
61.
Brandon has answered 20 out of the 25 questions on a test. What percentage of the test questions has Brandon answered?
a)
12.5%
b)
45%
c)
80%
d)
95%
62.
What is the marginal frequency of children?
a)
77
b)
107
c)
22
d)
65
63.
What is the line of best fit?
a)
f(x)= 5x+1.82
b)
cannot be determined
c)
f(x)= 1.82x + 5.02
d)
f(x)= 1.1x + 4.2
64.
What type of correlation describes the scatter plot?
a)
positive
b)
negative
c)
none
d)
all of the above
65.
As the age of a car increases, its value decreases. Which scatterplot best represents this relationship?
a)
A
b)
B
c)
C
d)
D
66.
What is the missing step to solving the following equation?
a)
x = -36
b)
x = 4
c)
x = -4
d)
x = 36
67.
Solve the equation 7x = 343.
a)
x = -3
b)
x = 3
c)
x = 5
d)
x = 49
68.
Solve the equation 7 = 2x + 3.
a)
x = -2
b)
x = 3.5
c)
x = 5
d)
x = 2
69.
Identify the property of equality that justifies the missing step in solving the equation below.
a)
Multiplication Property of Equality
b)
Subtraction Property of Equality
c)
Division Property of Equality
d)
Distributive Property of Multiplication Over Addition
70.
Fill in the blank: "A line with only 1 endpoint is a ___________."
a)
Segment
b)
Angle
c)
Ray
d)
Line
71.
a)
True
b)
False
72.
Which answer shows an object being reflected over the x-axis?
a)
A
b)
B
c)
C
d)
D
73.
Determine where X' would be if the preimage, X, was translated 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
74.
How did the preimage become the image?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
75.
How did the preimage become the image?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
76.
What transformation is happening?
(x, y) ----> (x + 2, y - 3)
(x, y) ----> (x + 2, y - 3)
a)
up 2 units, left 3 units
b)
right 2 units, up 3 units
c)
right 2 units, down 3 units
d)
left 3 units, right 2 units
77.
Write the rule for this translation:
slide 3 units up and 2 units right
slide 3 units up and 2 units right
a)
(x, y) ----> (x + 3, y + 2)
b)
(x, y) -----> (x + 2, y + 3)
c)
(x, y) ----> (x - 2, y + 3)
78.
Determine E'.
a)
(-1, -5)
b)
(-2, -2)
c)
(0, -4)
d)
(-4, 0)
79.
True or False: "Parallel lines have the same slopes and the same y-intercepts."
a)
True
b)
False
80.
True or False: "Perpendicular lines have the same slopes, but different y-intercepts."
a)
True
b)
False
81.
What equation is parallel to the line y = -3x + 5 and passes through the point (2, -3).
a)
y = -3x + 5
b)
y = -3x + 4
c)
y = -3x + 3
d)
y = -3x - 5
82.
Find the slope of the line.
a)
1/2
b)
-3/2
c)
3/4
d)
-3/4
83.
True or False: "All vertical lines have undefined slopes."
a)
True
b)
False
84.
True or False: "All horizontal lines have a slope of 0."
a)
True
b)
False
85.
Determine the equation of the line that is perpendicular to the line provided and crosses the given point.
a)
y = (1/4)x - 3
b)
y = (1/4)x - 4
c)
y = (1/4)x - 5
d)
y = (1/4)x - 6
86.
Determine whether the equations y = 5x - 1 and
y = -5x - 1 are parallel, perpendicular, neither, or the same.
y = -5x - 1 are parallel, perpendicular, neither, or the same.
a)
Parallel
b)
Perpendicular
c)
Neither
d)
Same
87.
True or False: Perpendicular lines have slopes that are opposite reciprocals.
a)
True
b)
False
88.
True or False: Parallel lines have the same slopes and y-intercepts.
a)
True
b)
False
89.
Fill in the blank: "A line perpendicular to y = 3x - 7 is going to have a slope of ___."
a)
-3
b)
1/3
c)
3
d)
-1/3
90.
What is the equation of the line perpendicular to the line
y = 3x - 6 that crosses the point (15, 5)?
y = 3x - 6 that crosses the point (15, 5)?
a)
y = -3x + 10
b)
y = (-1/3)x - 10
c)
y = (-1/3)x + 10
d)
y = 3x - 15
91.
What is the equation of the line parallel to the line x - y = 5 that crosses the point (1, -2)?
a)
y = -3x + 1
b)
y = x - 3
c)
y = x + 1
d)
y = 3x + 1
92.
Find the equation of the line that crosses the point P and is perpendicular to line AB.
a)
y = -x + 1
b)
y = x + 2
c)
y = x - 1
d)
y = x - 2
93.
Simplify.
√20a²b⁴
√20a²b⁴
a)
2ab²√5
b)
4ab²√5
c)
5ab²√2
d)
2a²b²√5
94.
Simplify.
a)
x²y√xy
b)
xy
c)
x²y²
d)
Can't Simplify
95.
Simplify.
a)
y2z10√xy
b)
20yz√xy
c)
xy2z10√y
d)
yz6√xy2z2
96.
What is the equation of the line?
a)
y = (5/3)x + 3
b)
y = (-5/2)x - 3
c)
y = (5/2)x - 3
d)
y = (5/3)x - 3
97.
What is the equation of the line that has a slope of 2 and goes through (3,4)?
a)
y = 2x - 2
b)
y = 2x + 2
c)
y = -2x - 2
d)
y = 4x + 4
98.
What is the equation of the line that goes through (2,1) and (4,5)?
a)
y = 2x + 3
b)
y = -2x - 3
c)
y = -2x + 3
d)
y = 2x - 3
99.
Write the equation with a slope of 0 that crosses the point (-3,1).
a)
y = -3x + 1
b)
y = 1
c)
x = -3y
d)
0
100.
a)
A
b)
B
c)
C
d)
D
101.
a)
A
b)
B
c)
C
d)
D
102.
Which statement is the congruence statement for the 2 triangles?
a)
∆EFG ≅ ∆MLF
b)
∆EFG ≅ ∆MFL
c)
∆EGF ≅ ∆FML
d)
∆GEF ≅ ∆FML
103.
Determine if the two triangles are congruent. If so, through what shortcut?
a)
A
b)
B
c)
C
d)
D
104.
Determine if the two triangles are congruent. If so, through what shortcut?
a)
A
b)
B
c)
C
d)
D
105.
Determine if the two triangles are congruent. If so, through what shortcut?
a)
A
b)
B
c)
C
d)
D
106.
What additional information is required for the two triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
107.
What additional information is required for the two triangles to be congruent by SSS?
a)
A
b)
B
c)
C
d)
D
108.
Are the triangles congruent? If so, through what shortcut?
a)
SAS
b)
ASA
c)
SSS
d)
Not Congruent
109.
Determine if the two triangles are congruent. If so, through what shortcut?
a)
None
b)
HL
c)
SAS
d)
SSA
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